FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 1, PAGES 65-106

Algebraic geometry over algebraic structures. II. Foundations

E. Yu. Daniyarova
A. G. Myasnikov
V. N. Remeslennikov

Abstract

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In this paper, we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove so-called unification theorems which describe coordinate algebras of algebraic sets in several different ways.

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Last modified: January 31, 2012